Results 21 to 30 of about 1,236 (297)
Matrix interpretation of multiple orthogonality [PDF]
, 2010 In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
Branquinho, Amílcar +2 more
core +2 more sources
Resolvent-based modeling of turbulent jet noise [PDF]
, 2021 Resolvent analysis has demonstrated encouraging results for modeling coherent structures in jets when compared against their data-educed counterparts from high-fidelity large-eddy simulations (LES).
Peter Jordan +7 more
core +2 more sources
Factorization of some classes of matrix functions and the resolvent of a Hankel operator [PDF]
, 2020 The factorization of some classes of matrix-valued functions is obtained, which yields some new results for a special class of Hankel integral operators in L-2(+).
Conceição, Ana C. +2 more
core +1 more source
Factorization of Matrix Functions and the Resolvents of Certain Operators [PDF]
, 2003 The explicit factorization of matrix functions of the form $${A_\gamma }(b) = \left( {\begin{array}{*{20}{c}} e&b \\ {b*}&{b*b + \gamma e} \end{array}} \right),$$ where b is an n n matrix function, e represents the identity matrix, and γ is a complex constant, is studied.
Conceição, Ana C. +2 more
openaire +2 more sources
Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space
Современная математика: Фундаментальные направления, 2020 We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The simplest case
S. E. Pastukhova
doaj +1 more source
Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
doaj +1 more source
Resolvent Operator of the Matrix Schrödinger Equation on the Half-Line withQuasi-selfadjoint Potential [PDF]
, 2021 We obtain the resolvent operator of the matrix Schrödinger equation on the half-line with a quasi-selfadjoint matrix potential Q. We also assume each entry of Q is Lebesgue measurable on (0,∞) and Q has a finite first moment.
Mutlu, Gökhan
core
Asymptotic properties for Volterra integro-dynamic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the resolvent matrix, a comparison principle and a useful equivalent system, we investigate the asymptotic behavior of linear Volterra integro-dynamic systems on time scales.
Safia Mirza +3 more
doaj +1 more source
Time-resolved Mueller matrix imaging polarimetry
Optics Express, 2004 We present a new method of time-resolved Mueller matrix imaging polarimetry for spatial and temporal characterization of the polarization effects in backscattering from turbid media. The technique allows measuring the time evolution of spatially varying polarization patterns of diffusely backscattered light with picosecond resolution.
Berezhnyy, Ihor, Dogariu, Aristide
openaire +3 more sources
The resolvent average for positive semidefinite matrices [PDF]
, 2009 We define a new average – termed the resolvent average – for positive semidefinite matrices. For positive definite matrices, the resolvent average enjoys self-duality and it interpolates between the harmonic and the arithmetic averages, which it ...
Heinz H. Bauschke +5 more
core +1 more source